Answer to Question #139379 in Statistics and Probability for ken

Question

TRUE OR FALSE

6. The z score is actually the number of standard deviations that a particular x value is away from the mean.

7. The central limit theorem tells us that if the sample size is large enough, the shape of the distribution of sample means approaches
a normal distribution.

8. A coin is tossed. If a head occurs, then you gain 1 peso and if a tail occurs, then you gain nothing. The expected gain in tossing the
coin is 50 centavos.

9. When the mean is computed for individual data, all values in the data set are used.

10. The positive square root of a variance is called the absolute value.

Answer 1

answers

6. TRUE

7. TRUE

8. TRUE

9. TRUE

10. TRUE

The positive square root of variance is the standard deviation. This value measures the distance of a value from the mean. It doesn't consider the direction. An absolute value measures distance from a point without considering direction. That's why I agree that the square root of variance (standard deviation) is absolute